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Journal ArticleDOI

Numerical solution of a casson fluid flow in the entrance of annular tubes

J. Liu, +1 more
- 01 Oct 1975 - 
- Vol. 31, Iss: 3, pp 213-222
TLDR
In this paper, the momentum equation for a Casson fluid flowing in the entrance region of an annular tube has been obtained for a large range of radii ratio and dimensionless yield stress.
Abstract
The solution of the momentum equation for a Casson fluid flowing in the entrance region of an annular tube has been obtained. The results have been presented for a large range of radii ratio and dimensionless yield stress. The mathematical accuracy of the numerical procedure is demonstrated by comparing the asymptotic velocity profiles at large axial distance with fully developed solution [1]. In addition, the results of the numerical solution for the case of yield stress equal to zero are compared with the entrance flow solution for a Newtonian fluid [2].

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Citations
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Journal ArticleDOI

Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation

TL;DR: In this article, the results of extensive numerical calculations, carried out using a highly accurate finite-volume method, for the fully developed laminar flow of an inelastic shear-thinning power-law fluid through an eccentric annulus with inner cylinder rotation are presented.
Journal ArticleDOI

Flow of a Casson fluid between two rotating cylinders

TL;DR: In this article, the flow characteristics of non-Newtonian fluid obeying Casson's stress-strain relation have been investigated in the annular space between two coaxial rotating cylinders, where the inner cylinder is at rest and the outer cylinder rotating with a constant velocity.
Journal ArticleDOI

Theoretical analysis of thermal entrance problem for blood flow: An extension of classical Graetz problem for Casson fluid model using generalized orthogonality relations

TL;DR: In this paper, an analysis of the Graetz problem for the case of fluid obeying the Casson constitutive equation is carried out for both flat and circular geometries, where axial diffusion and viscous dissipation effects on temperature field are also taken into account.
Journal ArticleDOI

Entrance laminar flows of viscoplastic fluids in concentric annuli

TL;DR: In this article, a control volume approach based upon an upwinding finite difference technique was used to solve the equation of motion and the results in terms of velocity and pressure drop profiles were shown graphically.
Journal ArticleDOI

A numerical solution for the entrance region of non-newtonian flow in annuli

TL;DR: In this paper, a finite difference implicit method was used to solve continuity and momentum equations applied to the entrance region of an axial, incompressible, isothermal, laminar and steady flow of a power-law fluid in a concentric annulus.
References
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Journal ArticleDOI

Rheology of Human Blood, near and at Zero Flow: Effects of Temperature and Hematocrit Level

TL;DR: The dynamic rheological properties in the creeping flow range are such that the relative viscosity of blood to water is almost independent of temperature, including red cell aggregation promoted by elements in the plasma.
Journal ArticleDOI

Viscometry of human blood for shear rates of 0-100,000 sec-1.

TL;DR: The viscometry of human blood has been represented by a number of empirical equations, including Casson's equation, which has been used for calculating the shear strength of blood and for describing its Viscometry at shear rates below 5 sec−1.
Journal ArticleDOI

Non-Newtonian Rheology of Human Blood - Effect of Fibrinogen Deduced by "Subtraction"

TL;DR: It is concluded that fibrinogen is essential for the existence of yield stress in human blood and the Casson model is of interest to consider in the light of rouleaux formation and the relation of fibr inogen to rouleau formation.
Journal ArticleDOI

Rheology of blood and flow in the microcirculation

TL;DR: Rheological properties of normal human blood as a homogeneous substance: its yield stress and the stress-shear rate function under creeping shear rates, were directly measured for the first time in this study.
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